80182420864 has 192 divisors, whose sum is σ = 211886811360. Its totient is φ = 29854089216.

The previous prime is 80182420861. The next prime is 80182420867. The reversal of 80182420864 is 46802428108.

It is an interprime number because it is at equal distance from previous prime (80182420861) and next prime (80182420867).

It is a super-2 number, since 2×80182420864² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 80182420864.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (80182420861) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1357189 + ... + 1415035.

Almost surely, 2^80182420864 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 80182420864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105943405680).

80182420864 is an abundant number, since it is smaller than the sum of its proper divisors (131704390496).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

80182420864 is a wasteful number, since it uses less digits than its factorization.

80182420864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57905 (or 57886 counting only the distinct ones).

The product of its (nonzero) digits is 196608, while the sum is 43.

The spelling of 80182420864 in words is "eighty billion, one hundred eighty-two million, four hundred twenty thousand, eight hundred sixty-four".